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Finding the Fourth Proportional to 392,744.50, 541,987.41 and 213,896.50

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Solution

The fourth proportional to 392,744.50, 541,987.41 and 213,896.50 is: 295,177.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,744.50 : 541,987.41 = 213,896.50 : x
  2. Step 2: Convert to fraction form
    392,744.50/541,987.41 = 213,896.50/x
  3. Step 3: Cross multiply
    392,744.50x = 541,987.41 × 213,896.50
  4. Step 4: Simplify right side
    392,744.50x = 115,929,210,043.07
  5. Step 5: Solve for x
    x = 115,929,210,043.07/392,744.50
  6. Step 6: Final answer
    x = 295,177.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.